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《Journal of Systems Science and Mathematical Sciences》 2019-06
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Research on Inference of Candidate Database Web Surveys Based on Bayesian Pseudo Design and the Combined Sample

LIU Zhan;JIN Yongjin;Hubei Key Laboratory of Applied Mathematics, School of Mathematics and Statistics, Hubei University;Center for Applied Statistics,Renmin University of China;  
How to solve the inference problem of candidate database web surveys is an urgent problem to be solved in the development of web survey.In order to solve this problem,the inference method of non-probability sampling based on Bayesian pseudo design and the combined sample is proposed.Firstly,a survey sample of the web candidate database and a probability sample are combined.The pseudo weight formula of the survey sample of the web candidate database is then derived according to the Bayesian theory.Furthermore,the data of the combined sample is used to estimate the population mean.Lastly,the bootstrap and jackknife methods are used to compute the variance estimator of the population mean estimator.The research results show that the population mean estimator based on Bayesian pseudo design and the combined sample is better,and has lower bias than the estimator using the Elliot's approach.The variance estimator based on the bootstrap method is better than the variance estimator based on the jackknife method.
【Fund】: 国家社会科学基金项目(18BTJ022)资助课题
【CateGory Index】: TP311.13;O212
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